### Abstract

In order to improve the calculation performance of thermal-hydraulic problems in high-temperature gas-cooled reactor (HTGR), the nodal integral method (NIM) was applied to solve the steady-state convection-diffusion equation in cylindrical geometry. Two kinds of treatments were proposed to solve the challenge of r-directed transverse integrated equation which was brought by cylindrical geometry, and corresponding error analyses were presented. The results show that the inherent upwind characteristic of NIM in solving the cylindrical convection-diffusion equation is proved, and the results of NIM agree very well with the analytical solutions for one-dimensional problem and multi-dimensional problem. When nodes close to the original point in r direction, constant approximation has better accuracy over treatment of moving terms, however, when nodes away from original point, both methods show almost the same accuracy.

Language | English (US) |
---|---|

Pages | 25-28 |

Number of pages | 4 |

Journal | Yuanzineng Kexue Jishu/Atomic Energy Science and Technology |

Volume | 47 |

Issue number | SUPPL1 |

DOIs | |

State | Published - Jun 2013 |

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### Keywords

- Constant approximation
- Nodal integral method
- Treatment of moving terms

### ASJC Scopus subject areas

- Nuclear Energy and Engineering

### Cite this

*Yuanzineng Kexue Jishu/Atomic Energy Science and Technology*,

*47*(SUPPL1), 25-28. DOI: 10.7538/yzk.2013.47.S0.0025

**Nodal integral method for convection-diffusion equation in cylindrical geometry.** / Deng, Zhi Hong; Sun, Yu Liang; Li, Fu; Rizwan-Uddin.

Research output: Research - peer-review › Article

*Yuanzineng Kexue Jishu/Atomic Energy Science and Technology*, vol 47, no. SUPPL1, pp. 25-28. DOI: 10.7538/yzk.2013.47.S0.0025

}

TY - JOUR

T1 - Nodal integral method for convection-diffusion equation in cylindrical geometry

AU - Deng,Zhi Hong

AU - Sun,Yu Liang

AU - Li,Fu

AU - Rizwan-Uddin,

PY - 2013/6

Y1 - 2013/6

N2 - In order to improve the calculation performance of thermal-hydraulic problems in high-temperature gas-cooled reactor (HTGR), the nodal integral method (NIM) was applied to solve the steady-state convection-diffusion equation in cylindrical geometry. Two kinds of treatments were proposed to solve the challenge of r-directed transverse integrated equation which was brought by cylindrical geometry, and corresponding error analyses were presented. The results show that the inherent upwind characteristic of NIM in solving the cylindrical convection-diffusion equation is proved, and the results of NIM agree very well with the analytical solutions for one-dimensional problem and multi-dimensional problem. When nodes close to the original point in r direction, constant approximation has better accuracy over treatment of moving terms, however, when nodes away from original point, both methods show almost the same accuracy.

AB - In order to improve the calculation performance of thermal-hydraulic problems in high-temperature gas-cooled reactor (HTGR), the nodal integral method (NIM) was applied to solve the steady-state convection-diffusion equation in cylindrical geometry. Two kinds of treatments were proposed to solve the challenge of r-directed transverse integrated equation which was brought by cylindrical geometry, and corresponding error analyses were presented. The results show that the inherent upwind characteristic of NIM in solving the cylindrical convection-diffusion equation is proved, and the results of NIM agree very well with the analytical solutions for one-dimensional problem and multi-dimensional problem. When nodes close to the original point in r direction, constant approximation has better accuracy over treatment of moving terms, however, when nodes away from original point, both methods show almost the same accuracy.

KW - Constant approximation

KW - Nodal integral method

KW - Treatment of moving terms

UR - http://www.scopus.com/inward/record.url?scp=84879259424&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879259424&partnerID=8YFLogxK

U2 - 10.7538/yzk.2013.47.S0.0025

DO - 10.7538/yzk.2013.47.S0.0025

M3 - Article

VL - 47

SP - 25

EP - 28

JO - Yuanzineng Kexue Jishu/Atomic Energy Science and Technology

T2 - Yuanzineng Kexue Jishu/Atomic Energy Science and Technology

JF - Yuanzineng Kexue Jishu/Atomic Energy Science and Technology

SN - 1000-6931

IS - SUPPL1

ER -